Topology | Open Set & Closed Set in Topology | Neighborhood, Limit Point in Topology

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  • Опубліковано 29 січ 2025

КОМЕНТАРІ • 215

  • @Agraneeh
    @Agraneeh Рік тому +3

    Aapke jaisa explanation kahi nehi milta.aapke methods unique aur tricky hain jo accha se samajh me ata hain.thank you sir

  • @maryamtabassum2388
    @maryamtabassum2388 Рік тому

    Sir ap boht great Han .. pori UA-cam Dekh ly bnda lakin mentally satisfaction apki bat sun k e hoti ha . ❤❤❤❤❤ JB SE apko Sunna shuru Kia ha Kisi or ko sunny ko Dil n Chahta.. love from Pakistan ❤❤❤❤❤

  • @umakantyadavu.k.y470
    @umakantyadavu.k.y470 2 роки тому +1

    सर आपके चरणों मेरा प्रणाम
    सर आपके सारे लेक्चर बहुत बढ़िया सभी concept अच्छे से समझ पा रहा हूँ । सर आप हम लोगों के लिए इतनी मेहनत करते हैं कभी- कभी लगता है कि हम आपके परिश्रम को सार्थक बना पायेगे या नहीं । 🙏🙏👍👍🌹🌹🇮🇳🇮🇳

  • @prantomollah4899
    @prantomollah4899 2 роки тому +8

    you really teach very well but if you speak little slow, then it will be very good for us to understand properly what you are telling, please take love from Bangladesh ❤️❤️🙏

  • @swapanakotoju5522
    @swapanakotoju5522 2 роки тому +28

    Thank you sir. Ans: B, D

    • @priyankasharma-ec1is
      @priyankasharma-ec1is Рік тому

      i think right answer is d

    • @HeWhoKnows-
      @HeWhoKnows- Рік тому +5

      @@priyankasharma-ec1is optionB is also closed since complement of {b, c} is {a} which in in the T and we know that every element of T is open
      Therefore by definition of close set {b, c} is closed

    • @HeWhoKnows-
      @HeWhoKnows- Рік тому +1

      Can you explain why option C .....{b} is not closed?

    • @mr.a_k1955
      @mr.a_k1955 Рік тому +3

      ​@@HeWhoKnows-because compliment of {b} is {a,c} which is not in T hence {a,c} is not open
      That's why {b} is not closed

    • @huligemmanayak4883
      @huligemmanayak4883 11 місяців тому +1

      ​@@HeWhoKnows-option D is also applicable in same pattern

  • @anjaligautam1144
    @anjaligautam1144 2 роки тому +11

    { b,c} and {c}
    Option B and D is correct answer
    Thank you so much sir very helpful video 👌👌🙏🙏🔥🤗

    • @p_r_i_y_a_n_k_ajena4500
      @p_r_i_y_a_n_k_ajena4500 Рік тому

      Why d option is close

    • @HeWhoKnows-
      @HeWhoKnows- Рік тому +2

      @@p_r_i_y_a_n_k_ajena4500 {c} complement is {a, b} and {a, b} belongs to T.
      And we know every element of T is open.
      Implying {c} is closed

    • @dibyalochanthayal8083
      @dibyalochanthayal8083 6 місяців тому

      Complement of {a,b}​ is=x-{a,b}=c
      So, closed set is c.@@p_r_i_y_a_n_k_ajena4500

    • @Lily-math
      @Lily-math 3 місяці тому

      Ham a aur b q ni le ry

  • @Teacherdiwakarmishra108
    @Teacherdiwakarmishra108 2 роки тому +2

    Sir Good morning 🙏🙏❣️
    Sir.ans.B & D will be correct
    Thanks for teach.❣️

  • @highermathematics-bx4mi
    @highermathematics-bx4mi 2 роки тому

    Assalam o Alaikum jazaki Allah khyran dear respected sir
    May Allah bless you Ameen

  • @siddiquiikram5673
    @siddiquiikram5673 2 роки тому +1

    Fantastic sir keep going sir it will helpfull

  • @mathswithnikkiyadav
    @mathswithnikkiyadav 2 роки тому +2

    B, d are the correct answer... Thank you so much sirji.... 🙏🙏🙏

  • @asheeshkumar8662
    @asheeshkumar8662 2 роки тому +2

    Daily aapke es topics pr vdo ka wait Krta hu

  • @sornaakter4575
    @sornaakter4575 2 роки тому +1

    Thank u so much from Bangladesh..please continue sir

  • @adilasaleem4310
    @adilasaleem4310 5 місяців тому

    B, D correct answers
    Well explained!
    Thank you Sir

  • @RituRani-op6go
    @RituRani-op6go 2 роки тому

    Sir please daily video upload kijiye consistency bhut jaruri hai

  • @rafal23455
    @rafal23455 Рік тому +1

    احسن شرح ❤

  • @IRONMAN.3059
    @IRONMAN.3059 2 роки тому

    Thanku for video
    New introduction
    Very cool sir ❣️🥰

  • @SadamHussain-bn1ru
    @SadamHussain-bn1ru Рік тому

    B, and D sir
    Best teacher love from Pakistan ❤

  • @Ravi-se8bn
    @Ravi-se8bn 2 роки тому +1

    Please keep on this course thank u

  • @PriyankaKujur-l5z
    @PriyankaKujur-l5z Рік тому

    Thank you so much sir for your excellent explanation

  • @the_kushal_patel
    @the_kushal_patel 5 місяців тому

    감사합니다🤗

  • @rajeshlahare3487
    @rajeshlahare3487 5 місяців тому

    Thank you so much sir 🙏🙏❤❤.. Ans b,d

  • @chandansahu6113
    @chandansahu6113 2 роки тому +2

    Ans. are B&D thank you so much Sir ❤️

  • @SANOJKUMAR-eh1jj
    @SANOJKUMAR-eh1jj 2 роки тому

    Thanks so much sir ji❤❤❤🙏🙏🙏🙏

  • @AnnuKumari-ny4le
    @AnnuKumari-ny4le 2 роки тому

    Thanku so much sir for wonderful session and answer is b,d option

  • @omkar1070
    @omkar1070 Рік тому

    Thank you sir ❤❤❤

  • @jadoonrohail6410
    @jadoonrohail6410 Рік тому

    Great 👌

  • @aparnarai7578
    @aparnarai7578 2 роки тому

    B n D r correct answer, Thanks sir 🙏🙏🙏

  • @gswapnil20
    @gswapnil20 2 роки тому

    Great content, sir👌👌

  • @Ayesha_01257
    @Ayesha_01257 Рік тому

    Very Well Explained, Sir...Thanks a lot ❤️

  • @Teacherdiwakarmishra108
    @Teacherdiwakarmishra108 2 роки тому

    Thanks for Teach Sir.🙏🙏❣️

  • @manuthakur4621
    @manuthakur4621 Рік тому

    Thank you so much sirr..👌

  • @SuccessPoint3216
    @SuccessPoint3216 2 роки тому

    You are legend Sir

  • @ইচ্ছেপূরণ-ব৯খ

    Thank you so much sir 🙏 ,last question ka ans - options B and D hoga

  • @Stark.......
    @Stark....... 2 роки тому

    Nice video sir ❤️

  • @kunjdewangan1587
    @kunjdewangan1587 2 роки тому

    Thank you sir 🙏... answer are b nd d.

  • @ritamkarmakar665
    @ritamkarmakar665 2 роки тому

    Top sir ❤️❤️❤️❤️😘

  • @nazimabbas4290
    @nazimabbas4290 10 місяців тому +1

    Thanks from Pakistan

  • @shivanipanwar00
    @shivanipanwar00 2 роки тому

    Thank you sir it's very helpful

  • @sumitas8998
    @sumitas8998 2 роки тому

    Thank you sir
    B&D are correct

  • @nandinibiswas3436
    @nandinibiswas3436 Рік тому

    Sir plzz uploads more videos on this topic topology

  • @deepakmathematics9938
    @deepakmathematics9938 2 роки тому

    Hello Sir ap bhut Achhe pdaye ho
    Dual simplex method ka Video sir ap bnaiye n please sir

  • @satyabehera9314
    @satyabehera9314 2 роки тому

    Thank you sir🙏

  • @abhi_jeet21flute
    @abhi_jeet21flute 11 місяців тому

    Thanku so much sir...❤❤Itna accha padhaane ke liye❤❤

  • @RiyaRathour-y5q
    @RiyaRathour-y5q 2 місяці тому +1

    B and D is closed because {a}'={b,c} and { a,b}'={c}

  • @hibakhan2312
    @hibakhan2312 Рік тому

    Sir please upload videos on Measure theory

  • @aakashPotter
    @aakashPotter 2 роки тому

    Very helpful

  • @shahelimodak
    @shahelimodak Рік тому +1

    Option b and option d are correct answer

  • @sheemanitinsan7235
    @sheemanitinsan7235 2 роки тому

    Nice 👍😊

  • @dronamrajuchanda3262
    @dronamrajuchanda3262 2 роки тому

    ans B,D thank you sir

  • @nitishjaiswal9537
    @nitishjaiswal9537 2 роки тому

    Thanku sir
    Ans is B,D

  • @KhushiBHAIYA
    @KhushiBHAIYA 2 місяці тому

    A complement is b,c and a,b compliment is c so correct options are B and D.

  • @all_rounded1
    @all_rounded1 Рік тому

    Sir Is set of natural no. Open or closed in topology

  • @azadrohilla
    @azadrohilla 6 днів тому

    Sir in the example of nbhd, nbhd of element 1 are wrong

  • @thetargetpoint1m968
    @thetargetpoint1m968 2 роки тому

    Sir aap jim bhi krte hai kya

  • @MuhammadBilal-vy2ni
    @MuhammadBilal-vy2ni Рік тому

    Assalam o alaikum sir separation axioms py vedio bna dain please

  • @deepakkumarvarma464
    @deepakkumarvarma464 2 роки тому +1

    Sir next video jaldi upload kariye please.

  • @Hanuman_ji_bhakti-y3y
    @Hanuman_ji_bhakti-y3y 2 роки тому +1

    Sir Boolean algebra discrete maths kra do plz

  • @vinithabongarala5990
    @vinithabongarala5990 Рік тому

    8:37 sir can't we take 'phi' in the subsets of 1 and as it's neighbourhood?

    • @HeWhoKnows-
      @HeWhoKnows- Рік тому

      You mad? Silly question
      Phi is empty set how can it be a subset of 1.

  • @SalmanKhan-cl9jl
    @SalmanKhan-cl9jl 2 роки тому

    Sir topology k oper jetna ziada possible hu videos banawu. 👍

  • @LavanyaBalasubramani
    @LavanyaBalasubramani 11 місяців тому

    sir please open and close ball bhi cover krva dijiye.

  • @susheelsaini3430
    @susheelsaini3430 2 роки тому

    Thanks sir ji

  • @Amitmourya24
    @Amitmourya24 2 роки тому +1

    Sir class pdf kha se milegi

  • @dhruvishapatel8920
    @dhruvishapatel8920 2 роки тому +1

    Very nice explained thank you so much sir ☺️😊

  • @sanvithapa6314
    @sanvithapa6314 Рік тому

    Option (B)... {b;c} ... Because .. it contain all limit point... Then it is close set

  • @Mina-m1z2t
    @Mina-m1z2t 9 місяців тому

    Sir metric space and fluid dynamics please

  • @newday6035
    @newday6035 2 роки тому

    Aap to gajab ho😊kya aap mere dost banoge i am bsc 1 year student

  • @rajeshlahare3487
    @rajeshlahare3487 Рік тому

    Sir cartian product of closed set and open set kya hoga

  • @latasewag5543
    @latasewag5543 2 роки тому

    Ans B nd D ..thanku sir for a quick revision very helpful

  • @sumanbachu4784
    @sumanbachu4784 Рік тому

    Excellent explanation all over the India sir🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏

  • @ashutoshpandey1311
    @ashutoshpandey1311 2 роки тому

    Thanks sir

  • @SHIVAMKUMAR-fe6kt
    @SHIVAMKUMAR-fe6kt 22 дні тому

    B and D are the right options.

  • @aminakousar8504
    @aminakousar8504 2 роки тому

    Gorgeous 🥰🥰🥰

  • @shahjadaalam162
    @shahjadaalam162 Рік тому +1

    Answer=b and d

  • @dedicatedtovillagersmonuse6913
    @dedicatedtovillagersmonuse6913 3 місяці тому

    B and D r correct❤

  • @tayyababatool4149
    @tayyababatool4149 2 роки тому

    Sir right ray topology ka proof b krwaa dyn

  • @nazkhan2789
    @nazkhan2789 2 роки тому

    Can you please let us understand nbhd open set etc for infinite set

  • @ANKIT-l4f6p
    @ANKIT-l4f6p 2 роки тому +1

    SIR HMARA RAJASTHAN UNIVERSITY KE COMPLEX ANALYSIS AUR ALGEBRA KA EXAM H 23 KO YE TOPIC USI M, SO THANKS BUT SIR STEREOGRAPHIC PROJECTION VALA IMP H USKI VIDEO BHI DAAL DO✨

  • @asheeshkumar8662
    @asheeshkumar8662 2 роки тому

    Thnku sir

  • @Zpathan-fo8ym
    @Zpathan-fo8ym 2 роки тому

    Thnax sir

  • @chandankumargupta8174
    @chandankumargupta8174 2 місяці тому

    20:40 option Bank & D are TRUE answer

  • @gurudevrawat8857
    @gurudevrawat8857 2 роки тому

    Sir topology me aapki playlist per only 13 lacture available hai,

  • @sharafatashraf1502
    @sharafatashraf1502 11 місяців тому

    Sir is ma c ksa limit point ho ga

  • @anjalitc3
    @anjalitc3 2 роки тому +1

    Sir, while explaining limit point, when you took the neighbourhood of a, why didn't you take {a,b}, {a,c} , {a,d} and others according to previous definition of neighborhood?

    • @sayanjitb
      @sayanjitb 2 роки тому +2

      Because the definition mentions that this should be an "Open NBD" of point a. And for a subset to be open, it must be a neighborhood of each element. you can easily check that (a,d), (a,c) do not satisfy this criterion.

    • @nandinibiswas3436
      @nandinibiswas3436 Рік тому +1

      We have to take only the open neighbourhoods
      So...

  • @ravinderdhundhwal9372
    @ravinderdhundhwal9372 2 місяці тому

    Options(B and D) are correct

  • @Deepak-j8p
    @Deepak-j8p 5 місяців тому

    Thanks sir aur bhejiye hamare pas time nahi h exam agale mahine h

  • @sejalsahu4119
    @sejalsahu4119 9 місяців тому

    B,D (correct)

  • @gentleman1342
    @gentleman1342 9 місяців тому +1

    Video like kr k jao dudes.❤

  • @zeshanhaider6296
    @zeshanhaider6296 2 роки тому

    sir first lecture k link bta dy

  • @haseenasrudeen8346
    @haseenasrudeen8346 2 роки тому

    Thxx

  • @CCEMATHSANDREASONING
    @CCEMATHSANDREASONING 2 роки тому

    This video is for bsc or msc?

  • @asheeshkumar8662
    @asheeshkumar8662 2 роки тому

    Option B& D is the right ans..

  • @RoniBadgujjar
    @RoniBadgujjar 11 місяців тому

    last question answer is B,C,D because in these sets every point is a limit point

    • @RoniBadgujjar
      @RoniBadgujjar 11 місяців тому

      Sir please correct me if i am wrong

  • @bedaprakashsahoo8812
    @bedaprakashsahoo8812 2 роки тому

    want matric space video sir

  • @manas5132
    @manas5132 Рік тому

    Ans:B,D

  • @debasishsarkar8190
    @debasishsarkar8190 5 місяців тому

    B,D❤

  • @nazkhan2789
    @nazkhan2789 2 роки тому

    Ans... B,c,d are correct

  • @deepshikhakesarwani8602
    @deepshikhakesarwani8602 2 роки тому

    Sir b and d i think is it right

  • @vivekrajput0078
    @vivekrajput0078 Рік тому

    (B) and (D)

  • @mohityadav-bw7ob
    @mohityadav-bw7ob Рік тому

    B and D option are correct

  • @piudas3826
    @piudas3826 2 роки тому

    Correct option b,d